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Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. However, it would appear that this is NOT an example of the distributive property but, instead, the identity property of 0 with respect to addition.Please edit your question to include words for symbols and resubmit.
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Which property is illustrated in this problem 33 plus 0 equals 33?
The fact that 0 is the additive identity over for integers or rationals or reals.
What property is 18 plus 0 equals 0 plus 18?
This is the Commutative property or law.
Which property is demonstrated by this problem 39 plus 0 equals 0 plus 39?
The commutative property of addition.
What is the property of x plus 0?
The Identity Property
Which property is represented 15 plus 0?
It is the Identity Property
